What is the Greatest Common Factor of 61691 and 61709?

Greatest common factor (GCF) of 61691 and 61709 is 1.

GCF(61691,61709) = 1

We will now calculate the prime factors of 61691 and 61709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61691 and 61709.

How to find the GCF of 61691 and 61709?

We will first find the prime factorization of 61691 and 61709. After we will calculate the factors of 61691 and 61709 and find the biggest common factor number .

Step-1: Prime Factorization of 61691

Prime factors of 61691 are 7, 1259. Prime factorization of 61691 in exponential form is:

61691 = 7² × 1259¹

Step-2: Prime Factorization of 61709

Prime factors of 61709 are 23, 2683. Prime factorization of 61709 in exponential form is:

61709 = 23¹ × 2683¹

Step-3: Factors of 61691

List of positive integer factors of 61691 that divides 61691 without a remainder.

1, 7, 49, 1259, 8813

Step-4: Factors of 61709

List of positive integer factors of 61709 that divides 61691 without a remainder.

1, 23, 2683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61691 and 61709. The biggest common factor number is the GCF number.
So the greatest common factor 61691 and 61709 is 1.

Also check out the Least Common Multiple of 61691 and 61709